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DE-BUNDESWETTBEWERB 2003 Problem 4

  • Round 1

Determine all positive integers which cannot be represented as ab+a+1b+1\frac{a}{b}+\frac{a+1}{b+1} with a,ba,b being positive integers.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2003 official paper, page 1.

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